SOLUTION: Can you please help me solve the system ? x\4 - y\3 = -3\4 x\2 - y\3 = -1\2

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Question 55338: Can you please help me solve the system ? x\4 - y\3 = -3\4

x\2 - y\3 = -1\2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F4+-+y%2F3+=+-3%2F4
:
Mult the equation by a common denominator, in this case it would be 12
%2812%29x%2F4+-+%2812%29y%2F3+=+-%2812%293%2F4
Resulting in:
3x - 4y = -9
:
We do the same with:
x%2F2+-+y%2F3+=+-1%2F2
:
The common denominator would be 6 here:
%286%29x%2F2+-+%286%29y%2F3+=+-%286%291%2F2
Resulting in:
3x - 2y = -3
:
:
These two equations can easily be solved using the elimination method:
3x - 4y = - 9
3x - 2y = - 3
-------------- subtract
0x - 2y = -6
y = -6/-2
y = +3
:
Substitute 3 for y in the 1st equation to find x:
3x - 4(3) = - 9
3x - 12 = -9
3x = -9 + 12
3x = +3
x = +1
:
It's a good idea to substitute for x and y in one of the original equations:
x%2F4+-+y%2F3+=+-3%2F4
:
1%2F4+-+3%2F3+=+-3%2F4
:
1%2F4+-+1+=+-3%2F4
:
Equality reigns!